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Proof step 2 from proof sgn-append-05 (previous step)

⊦ bits = [], sgn(bits + bits0) = sgn(true ' + bits0), false ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ boolvar ∈ bits ∧ bits ≠ [] → sgn(bits + bits0) = sgn((¬ boolvar)' + bits0)

Rule argument

name: sgn-append-03 rotate: F subst: [boolvar, bits, bits0] → [false, bits, bits0]

Additional information

Used terms: false, bits, bits0